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Personally, I would apply the lift over the whole surface. If the solution takes too long you could try the point method but I don't think that will give you the same results. I would recommend re-running it with 2-3X the number of points until the solution converges and along many lines.
You could add another split line so you get a surface that approximates the "line" (ie a narrow surface. Otherwise you could put a linear distribution in the free stream direction along with the elliptical one in the transverse tot he free stream which is what is typically done. The non-linear load distribution has this capability. You can check it by comparing he root loads or stresses with a point load approximation.
Thanks everyone! (I'm the original poster, I used my coworker's account to post my question by mistake.)
I ended up using several point loads along the line to approximate it for now, and I'm going to try modifying my equation to use 3-D data instead of 2-D data so I can apply it over the entire surface as a pressure load instead of a force. Hopefully this will be more accurate and I won't get stress concentrations around the force points.
Thanks for the advice, it really helped!